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Finding the Fourth Proportional to 17,705.12, 24,433.24 and 9,747.50

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Solution

The fourth proportional to 17,705.12, 24,433.24 and 9,747.50 is: 13,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.12 : 24,433.24 = 9,747.50 : x
  2. Step 2: Convert to fraction form
    17,705.12/24,433.24 = 9,747.50/x
  3. Step 3: Cross multiply
    17,705.12x = 24,433.24 × 9,747.50
  4. Step 4: Simplify right side
    17,705.12x = 238,163,006.90
  5. Step 5: Solve for x
    x = 238,163,006.90/17,705.12
  6. Step 6: Final answer
    x = 13,451.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.